1. **Stating the problem:** We are given the complex number $11 + 2i$ and asked to express it in the form $d + ie$ where $d$ and $e$ are real numbers. 2. **Understanding complex numbers:** A complex number is written as $a + bi$ where $a$ is the real part and $b$ is the imaginary part. 3. **Identify parts:** In $11 + 2i$, the real part $d$ is $11$ and the imaginary part $e$ is $2$. 4. **Expressing the number:** So, $11 + 2i = d + ie$ where $d = 11$ and $e = 2$. 5. **Magnitude (optional):** The magnitude (or absolute value) of a complex number $d + ie$ is given by $$\sqrt{d^2 + e^2}$$. 6. **Calculate magnitude:** $$\sqrt{11^2 + 2^2} = \sqrt{121 + 4} = \sqrt{125} = 5\sqrt{5} \approx 11.18$$. 7. **Summary:** The complex number $11 + 2i$ has real part $11$, imaginary part $2$, and magnitude approximately $11.18$. This completes the solution.